PRISM Library
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The Quadratic Formula
Students learn the quadratic formula, understand its derivation from completing the square, and apply it to solve quadratic equations. Includes guidance on when to use the formula versus other methods, interpretation of the discriminant, and real-world applications.
The Language of Operations
Students learn the precise vocabulary for all four arithmetic operations (sum, difference, product, quotient, factor, dividend, divisor) and connect these terms to real-world situations while building confidence through familiar contexts.
Number Relationships and Place Value
Students deepen their understanding of factors and multiples, distinguish prime from composite numbers, find GCF and LCM, and extend place value knowledge through thousandths, building the vocabulary and number sense needed for fraction and decimal operations.
Fractions and Decimals: Two Languages, One Idea
Students discover that fractions and decimals are two representations of the same value, master equivalent fractions and simplifying using GCF, convert between improper fractions and mixed numbers, understand the reciprocal, and connect fraction-to-decimal conversion to the division meaning of a fraction.
Expressions, Equations, and Mathematical Reasoning
Students learn the vocabulary of algebra (variables, expressions, equations, terms, coefficients, and constants) and apply order of operations (PEMDAS), properties of operations, and expression evaluation to build the foundation for all 6th grade mathematics.
Speaking Mathematics Practice
A 15-question practice covering all three Speaking Mathematics intervention lessons: the language of operations, number relationships and place value, and the connection between fractions and decimals. Questions test vocabulary recall, conceptual understanding, and application across all key topics.